My guess is that it is a Stoddard locomotive. The lokie in the photo appears to have a running board over the cylinder (the usual configuration) accessed by a short ladder. The Eccles #3 had an auxiliary running board on the right side from the cab to the pilot beam, at the same level as the cab floor. Presumably this allowed the engineer to move from the cab to the gypsy engine without climbing up and down. The hardware for this was still on the #3 when we acquired it in the 70's. The stacks on most logging engines had a high mortality rate, and were often swapped between locomotives. The Eccles #3 was known to have at least three, one of which was borrowed from the Eccles Climax after the orginal was knocked off by the sawdust shute at Austin. None of the stacks known to have been on the 3 look exactly like the one in the photo, but neither does the one on Stoddard #4. The stack pictured looks more like one from a Baker White Pine Climax.
It would be nice if the photo was juse a little clearer.